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Finding the Fourth Proportional to 490.50, 676.98 and 343.35

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Solution

The fourth proportional to 490.50, 676.98 and 343.35 is: 473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.50 : 676.98 = 343.35 : x
  2. Step 2: Convert to fraction form
    490.50/676.98 = 343.35/x
  3. Step 3: Cross multiply
    490.50x = 676.98 × 343.35
  4. Step 4: Simplify right side
    490.50x = 232,441.08
  5. Step 5: Solve for x
    x = 232,441.08/490.50
  6. Step 6: Final answer
    x = 473.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.